A family of edge-transitive Cayley graphs

DOI10.1007/s10801-018-0823-5zbMath1492.05067OpenAlexW2795827182MaRDI QIDQ2423369

Jiangmin Pan, Zhaofei Peng

Publication date: 21 June 2019

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-018-0823-5

zbMATH Keywords

edge-transitive grapharc-regular graphedge-regular graphhalf-transitive graphnormal Cayley graph

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on combinatorial structures (05E18)

Related Items (1)

Symmetric graphs of valency seven and their basic normal quotient graphs

Cites Work

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• Edge-transitive products
• A characterization of a family of edge-transitive metacirculant graphs
• On edge-transitive cubic graphs of square-free order
• On edge-transitive graphs of square-free order
• Arc-transitive pentavalent graphs of square-free order
• Arc-transitive graphs of square-free order and small valency
• Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree
• The vertex-transitive and edge-transitive tetravalent graphs of square-free order
• On weakly symmetric graphs of order twice a prime
• On the full automorphism group of a graph
• Maps and half-transitive graphs of valency 4
• Vertex-primitive graphs of order a product of two distinct primes
• A classification of symmetric graphs of order \(3p\)
• Symmetric graphs of order a product of two distinct primes
• On isomorphisms of connected Cayley graphs
• Recent developments in half-transitive graphs
• On 2-arc-transitivity of Cayley graphs
• A tetravalent half-arc-transitive graph with non-abelian vertex stabilizer
• Constructing an infinite family of cubic 1-regular graphs
• Locally primitive Cayley graphs of dihedral groups
• Finite Permutation Groups and Finite Simple Groups
• Algebraic Graph Theory
• Vertex and Edge Transitive, but not 1-Transitive, Graphs
• On the Classification of Symmetric Graphs with a Prime Number of Vertices
• A One-Regular Graph of Degree Three
• A family of one-regular graphs of valency 4

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